Pith Number

pith:X76QSE6V

pith:2012:X76QSE6VCYP7S5C7XDJR32YJLY

not attested not anchored not stored refs pending

Diffusion processes in thin tubes and their limits on graphs

Seiichiro Kusuoka, Sergio Albeverio

arxiv:1210.3440 v1 · 2012-10-12 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X76QSE6VCYP7S5C7XDJR32YJLY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:43:19.849203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bffd0913d5161ff9745fb8d31deb095e3aa88cac81669664e6af56a4b25737d2

Aliases

arxiv: 1210.3440 · arxiv_version: 1210.3440v1 · doi: 10.48550/arxiv.1210.3440 · pith_short_12: X76QSE6VCYP7 · pith_short_16: X76QSE6VCYP7S5C7 · pith_short_8: X76QSE6V

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X76QSE6VCYP7S5C7XDJR32YJLY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bffd0913d5161ff9745fb8d31deb095e3aa88cac81669664e6af56a4b25737d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e789f3c88c2818a7e11a12abbc9dfcf6b83977aac3ae3d80dbdba5880d7e8e1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-12T06:55:26Z",
    "title_canon_sha256": "f2b2c709a0966844a13e04922773f156ce1a241982408f5fadbdb8f0acbb92c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3440",
    "kind": "arxiv",
    "version": 1
  }
}